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nxgx

y/x=√(x-1)/(x+1) 两边取对数,

ln(y/x)=ln√(x-1)/(x+1)

整理得

lny-lnx=0.5[ln(x-1)-ln(x+1)]

两边求导

dy/y-dx/x=0.5[dx/(x-1)-dx/(x+1)]

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nxgx

1/2∫(2x+2)/(x^2+x+1)dx

=1/2∫1/(x^2+x+1)d(x^2+x+1)

=1/2ln(x^2+x+1)+C